R. K. Ahuja, T. L. Magnanti and J. B. Orlin, “Network Flows: Theory, Algorithms and Applications,” Prentice Hall, 1993.

has been cited by the following article:

• TITLE: Balanced Min Cost Flow on Skew Symmetric Networks with Convex Costs

  AUTHORS: Henning Soller

  KEYWORDS: Matching; Skew Symmetric Network; Convex Cost Function; Optimization

  JOURNAL NAME: Open Journal of Discrete Mathematics, Vol.3 No.3, July 12, 2013

  ABSTRACT: We consider the solution of matching problems with a convex cost function via a network flow algorithm. We review the general mapping between matching problems and flow problems on skew symmetric networks and revisit several results on optimality of network flows. We use these results to derive a balanced capacity scaling algorithm for matching problems with a linear cost function. The latter is later generalized to a balanced capacity scaling algorithm also for a convex cost function. We prove the correctness and discuss the complexity of our solution.